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Finding the Fourth Proportional to 9,151.45, 13,722.81 and 4,219.63

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Solution

The fourth proportional to 9,151.45, 13,722.81 and 4,219.63 is: 6,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.45 : 13,722.81 = 4,219.63 : x
  2. Step 2: Convert to fraction form
    9,151.45/13,722.81 = 4,219.63/x
  3. Step 3: Cross multiply
    9,151.45x = 13,722.81 × 4,219.63
  4. Step 4: Simplify right side
    9,151.45x = 57,905,180.76
  5. Step 5: Solve for x
    x = 57,905,180.76/9,151.45
  6. Step 6: Final answer
    x = 6,327.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.